Additional type-level operations on GHC.TypeLits.Nat.

Additional type-level operations on GHC.TypeLits.Nat:

• Max: type-level max

• Min: type-level min

• Div: type-level div

• Mod: type-level mod

• FLog: type-level equivalent of integerLogBase# i.e. the exact integer equivalent to floor (logBase x y)

• CLog: type-level equivalent of the ceiling ofintegerLogBase# i.e. the exact integer equivalent to ceiling (logBase x y)

• Log: type-level equivalent of integerLogBase# where the operation only reduces when floor (logBase b x) ~ ceiling (logBase b x)

• GCD: a type-level gcd

• LCM: a type-level lcm

And a custom solver for the above operations defined in GHC.TypeLits.Extra.Solver as a GHC type-checker plugin. To use the plugin, add the

OPTIONS_GHC -fplugin GHC.TypeLits.Extra.Solver

pragma to the header of your file.

ghc-typelits-extra

Extra type-level operations on GHC.TypeLits.Nat and a custom solver implemented as a GHC type-checker plugin:

• GHC.TypeLits.Extra.Max: type-level max
• GHC.TypeLits.Extra.Min: type-level min
• GHC.TypeLits.Extra.Div: type-level div
• GHC.TypeLits.Extra.Mod: type-level mod
• GHC.TypeLits.Extra.FLog: type-level equivalent of integerLogBase# .i.e. the exact integer equivalent to "floor (logBase x y)"
• GHC.TypeLits.Extra.CLog: type-level equivalent of the ceiling ofintegerLogBase# .i.e. the exact integer equivalent to "ceiling (logBase x y)"
• 'GHC.TypeLits.Extra.Log': type-level equivalent of integerLogBase# where the operation only reduces when "floor (logBase b x) ~ ceiling (logBase b x)"
• GHC.TypeLits.Extra.GCD: a type-level gcd
• GHC.TypeLits.Extra.LCM: a type-level lcm.